identifying types of functions
exponential growth and decay
Zero product property
100
-has an x with no exponent -y=5x+1 -y=1/2x -2x+3y=6
What is linear?
100
occurs when a quantity increases by the same rate r in each period t. When this happens, the value of the quantity at any given time can be calculated as a function of the rate and the original amount.
What is exponential growth?
100
If the product of 2 expressions is zero, then at least one of the expressions must equal zero
What is zero product property?
200
-has an x squared in the equation -y=2x^2+3x-5 -y=x^2+9 -x^2+4y=7
What is quadratic?
200
interest earned or paid on both the principle and previously earned interest.
What is compound interest?
200
What is the solution to this equation? (x+2)(x+3)=0
What is x=-2 or x=-3
300
-has an x as the exponent -y=3^x+1 -y=5^2x -4x+y=13
What is exponential?
300
occurs when a quantity decreases by the same rate r in each time period
What is exponential decay?
400
From a graph: -rises or falls quickly in one direction
What is exponential (from a graph)?
400
f(t)=a(1+r)^t
What is an exponential growth function?
500
From a table: -y changes more quickly than x -never see the same y value twice -common multiplication pattern
What is exponential (from a table)?
500
A^(t)=p(1+r/n)^nt
What is the compound interest formula?